Number DigitDecimal in the thousandths place
-29.985 in Words
-29.985 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-29.985 in words is negative twenty-nine point nine eight five.
-29.985 Place-Value Breakdown
The digits 2 and 9 form the whole-number part, while 9 in the tenth place, 8 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 2 | tens | 20 |
| Whole part | 9 | ones | 9 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is -29.985?
-29.985 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -29.985
-29.985 = -(20 + 9 + 9/10 + 8/100 + 5/1000)
-29.985 = -(29 + 985/1000)
-29.985 = -29 197/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How -29.985 Simplifies to -5997/200
-29.985 = -29985/1000
The greatest common divisor of 29985 and 1000 is 5.
-29985 ÷ 5 = -5997
1000 ÷ 5 = 200
Therefore, -29985/1000 = -5997/200.
As a mixed fraction, the value is -29 197/200.
-29.985 as a Percentage
To convert -29.985 to a percentage, multiply it by 100.
-29.985 × 100 = -2998.5
Therefore, -29.985 = -2998.5%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 29 with the fractional part 985/1000. In place-value words, "and" marks that boundary.
How the Negative Sign Changes the Reading
Say "negative" once before the complete word form. The sign changes the direction and value, but it does not change the decimal places or the fraction-reduction steps.
-29.985 on a Number Line
-29.985 lies between -30 and -29. It is 0.015 above -30 and 0.985 below -29.
-29.985 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -2.9985 | negative two point nine nine eight five | negative two and nine thousand nine hundred eighty-five ten-thousandths | -5997/2000 | -299.85% | one tenth of -29.985 |
| -29.985 | negative twenty-nine point nine eight five | negative twenty-nine and nine hundred eighty-five thousandths | -5997/200 | -2998.5% | current value |
| -29.9850 | negative twenty-nine point nine eight five zero | negative twenty-nine and nine thousand eight hundred fifty ten-thousandths | -5997/200 | -2998.5% | same numerical value, written to the ten-thousandths place |
| -299.85 | negative two hundred ninety-nine point eight five | negative two hundred ninety-nine and eighty-five hundredths | -5997/20 | -29985% | ten times -29.985 |
Quick Practice
How is -29.985 read digit by digit?
Negative twenty-nine point nine eight five.
What is the place-value word form of -29.985?
Negative twenty-nine and nine hundred eighty-five thousandths.
What fraction is -29.985 in lowest terms?
-5997/200.
What percentage is equal to -29.985?
-2998.5%.
What is the absolute value of -29.985?
29.985.
Between which whole numbers does -29.985 lie?
Between -30 and -29.
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Frequently Asked Questions
How do you write -29.985 in words?
-29.985 in words is negative twenty-nine point nine eight five.
Why is -29.985 called negative twenty-nine and nine hundred eighty-five thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative twenty-nine and nine hundred eighty-five thousandths.
What fraction is -29.985?
-29.985 is -29985/1000 exactly and -5997/200 in lowest terms.
Can -29985/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get -5997/200.
What percentage is -29.985?
-29.985 is equal to -2998.5%.
Is -29.985 the same as -29.9850?
Yes. -29.985 and -29.9850 have the same numerical value. However, -29.985 is written to the thousandths place, while -29.9850 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -29.985 larger than -2.9985?
No. Negative values reverse the comparison; -29.985 is ten times the value of -2.9985.
What type of decimal is -29.985?
-29.985 is a negative terminating decimal. It is written to 3 decimal places and represents negative twenty-nine and nine hundred eighty-five thousandths.